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What is the Least Common Multiple of 79063 and 79072?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 79063 and 79072 is 6251669536.

LCM(79063,79072) = 6251669536

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Least Common Multiple of 79063 and 79072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79063 and 79072, than apply into the LCM equation.

GCF(79063,79072) = 1
LCM(79063,79072) = ( 79063 × 79072) / 1
LCM(79063,79072) = 6251669536 / 1
LCM(79063,79072) = 6251669536

Least Common Multiple (LCM) of 79063 and 79072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79063 and 79072. First we will calculate the prime factors of 79063 and 79072.

Prime Factorization of 79063

Prime factors of 79063 are 79063. Prime factorization of 79063 in exponential form is:

79063 = 790631

Prime Factorization of 79072

Prime factors of 79072 are 2, 7, 353. Prime factorization of 79072 in exponential form is:

79072 = 25 × 71 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 79063 and 79072.

LCM(79063,79072) = 790631 × 25 × 71 × 3531
LCM(79063,79072) = 6251669536